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 PolyLog

 http://functions.wolfram.com/10.08.16.0004.01

 Input Form

 PolyLog[\[Nu], z^2] == 2^(\[Nu] - 1) (PolyLog[\[Nu], -z] + PolyLog[\[Nu], z])

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["PolyLog", "[", RowBox[List["\[Nu]", ",", SuperscriptBox["z", "2"]]], "]"]], "\[Equal]", RowBox[List[SuperscriptBox["2", RowBox[List["\[Nu]", "-", "1"]]], " ", RowBox[List["(", RowBox[List[RowBox[List["PolyLog", "[", RowBox[List["\[Nu]", ",", RowBox[List["-", "z"]]]], "]"]], "+", RowBox[List["PolyLog", "[", RowBox[List["\[Nu]", ",", "z"]], "]"]]]], ")"]]]]]]]]

 MathML Form

 Li PolyLog ν ( z 2 ) 2 ν - 1 ( Li PolyLog ν ( z ) + Li PolyLog ν ( - z ) ) PolyLog ν z 2 2 ν -1 PolyLog ν z PolyLog ν -1 z [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["PolyLog", "[", RowBox[List["\[Nu]_", ",", SuperscriptBox["z_", "2"]]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[SuperscriptBox["2", RowBox[List["\[Nu]", "-", "1"]]], " ", RowBox[List["(", RowBox[List[RowBox[List["PolyLog", "[", RowBox[List["\[Nu]", ",", RowBox[List["-", "z"]]]], "]"]], "+", RowBox[List["PolyLog", "[", RowBox[List["\[Nu]", ",", "z"]], "]"]]]], ")"]]]]]]]]

 Date Added to functions.wolfram.com (modification date)

 2001-10-29